1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tamiku [17]
3 years ago
14

Solve for x. 0.2x – 1.8 5 = 4.2​

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Answer:

<h2>x = 114</h2>

Step-by-step explanation:

0.2x – 1.8/5 = 4.2​

0.2x - 1.8 = 4.2 (5)

x =<u> 21 + 1.8 </u>

        0.2

x = 22.8 / 0.2

x = 114

You might be interested in
Solve this on your own and find the unit rate of miles per hour.
Dafna11 [192]
150mi/5hr =30 mi/hr so the answer is 30 mi/hr
4 0
2 years ago
A lighthouse is located on a small island 5 km away from the nearest point P on a straight shoreline and its light makes seven r
Vaselesa [24]

Answer:

Light is moving at the speed = 77.78 km/min

Step-by-step explanation:

Given:

Distance between island and point P = 5 km

Moving along the the shoreline when it is 1 km from P.

So, x = 1

From the above statement light makes seven revolutions per minute.

Therefore,              

\frac{d\theta}{dt}=\frac{7\times 2\pi\ rad}{1\ min}  = 14\pi\ rad/min  

Solution:

From the given figure.

tan\theta=\frac{x}{5}

Substitute x = 1

tan\theta=\frac{1}{5}  -------------------(1)

Now, first we differentiate both side with respect to t.

\frac{d(tan\theta)}{dt} = \frac{d}{dt}.(\frac{x}{3})

Using chain rule.

\frac{d(tan\theta)}{dt}.\frac{d\theta}{dt}  = (\frac{1}{5})\frac{dx}{dt}

sec^{2} \theta.\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

(1+tan^{2} \theta).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

Substitute tan\theta=\frac{1}{5} from equation 1.

(1+(\frac{1}{3})^{2} ).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

(1+\frac{1}{9}).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

Substitute \frac{d\theta}{dt}=14\pi

\frac{10}{9}.14\pi  = \frac{1}{5}.\frac{dx}{dt}

Applying cross multiplication rule.

\frac{dx}{dt}= \frac{700\pi }{9}

\frac{dx}{dt}= 77.78\pi

Therefore, light is moving along the shore at the speed of 77.78 km/min

6 0
3 years ago
What % of 160 is 56?
Delvig [45]
It would be 89.60000000000
4 0
2 years ago
Read 2 more answers
Explain how to plot (-5, 1).
Temka [501]
I believe the answer is A
7 0
2 years ago
Read 2 more answers
Answer please due today
mezya [45]

Answer:

CD=9

Step-by-step explanation:

ΔABD=>

AD²=AB² + BD²                  [Pythagorean Theorem]

BD²=   AD²-AB²

BD²=9²-3²

BD²=72

BD=√72=6√2....(1)

ΔBCD=>

CD²=BD²+BC²

CD²=(6√2)² + 3²

CD²=72+9

CD²=81

CD=√81

CD=9

5 0
3 years ago
Other questions:
  • In one town 44% of all voters are Democrats if two voters are randomly selected for a survey find the probability that they are
    12·1 answer
  • HELP! I will give BRAINLIEST!! Please EXPLAIN Olga tried to solve an equation step by step. ​ Equation: 1/4 ( 1/3k + 9) = 6 ​ St
    10·1 answer
  • Write the prime factorization of the number 144 243 475
    11·1 answer
  • Iman has 6 packs of cards . Mateo has 10 packs of cards. between the two of them, they have 128 sports cards . how many sports c
    6·1 answer
  • Expand and simplify 2(a+3)+3(2a-1)
    5·1 answer
  • 54*8+6+14= what's the answer
    15·1 answer
  • the reciprocal of the divisor is 4 3 Rewrite the division problem as multiplication What is the quotient?
    6·2 answers
  • A system of equations is shown on the graph below.how many solutions does this system have
    14·1 answer
  • Need help ASAP
    15·2 answers
  • Create an equivalent ratio to 20:24 by dividing both sides by 4
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!